almost all of them actually. you use balance in one way or another in any sport you play. gymnastics is the one that i can think of that requires the most balance, especially on the beam.
In gymnastics, the balance beam is perhaps the sport where good balance is most critical.
A sport which requires water to be played.
What winter sport requires targets?
steroids
Ping-pong requires a paddle but isn't played on water. Paddleball also requires a paddle and isn't played on water, but isn't necessarily a sport.
Padel is a racquet sport in the US and Canada
gymnastics
Ears help you balance.
Cricket!
Yes
the way your body is weighted